Jacobi transformation conjecture for VOA characters
Let be a rational vertex operator algebra of CFT type, let be an irreducible -module, and let and be the spaces defined in the source, with the dual lattice of the lattice . For and , write for the character associated with . Jacobi transformation conjecture.
This predicts the elliptic transformation law for the characters of irreducible modules and is part of the expected Jacobi-form behavior of VOA characters. The source gives no further information about its resolution.
References
Primary source
Chongying Dong, Kefeng Liu and Xiaonan Ma, “Elliptic genus and vertex operator algebras”, arXiv:math/0201135 (2002).
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